Answer:
6.50
Step-by-step explanation:
You have to add/multiply 2.50 by 3 to get the total cost of the cards. 2.50*3=7.5. then, you need to add/multiply 3.00 by 2 to get 6. 7.5+6= 13.5. 20-13.5=6.50.
the change was $6.50
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2
Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7
In short, Your Equation would be: y = -3/2x - 7
Hope this helps!
By eliminating exponents, the <em>logarithmic</em> expression
is equivalent to the <em>logarithmic</em> expression
.
<h3>How to simplify logarithmic functions</h3>
In this problem we are supposed to eliminate all exponents of a <em>logarithmic</em> function by applying any of the following properties:
- ㏒ x · y = ㏒ x + ㏒ y
- ㏒ x/y = ㏒ x - ㏒ y
- ㏒ yˣ = x · ㏒ y
Now, we proceed to simplify the function:



By eliminating exponents, the <em>logarithmic</em> expression
is equivalent to the <em>logarithmic</em> expression
.
To learn more on logarithms: brainly.com/question/24211708
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